Class 10 Exam > Class 10 Notes > Lab Manuals for Class 10 > Lab Manual: Surface Area of a Sphere
Lab Manual: Surface Area of a Sphere | Lab Manuals for Class 10 PDF Download
Objective
To find the surface area of sphere with the help of an activity.
Prerequisite Knowledge
Curved surface area (C.S. A.) of a right circular cylinder = 2πr(where r =radius of the base and h = height of the cylinder)
Materials Required
A solid spherical plastic ball, a cylinder with height equal to the diameter of the sphere, thread, cutter, pins, sketch pen etc. (Let radius of sphere be rand height of the cylinder be h)
Procedure
- Divide the spherical plastic ball into two hemispherical portion with the help of a cutter.
- Fix a pin at the top most point of the hemisphere.
- Take a roll of thread and wind it closely on the curved surface of the hemisphere completely in the form of spiral starting with the pin on the surface of the hemisphere
- Take another roll of thread and wind it completely along the curved surface of the cylinder in the form of a spiral.
- Unwind the threads from the hemisphere and cylinder.
- Compare the length of two threads used in wrapping.
Observation
- The length of the thread used to cover the cylinder is two times more than the length of the thread used to cover the hemisphere.
- Curved surface area of the hemisphere
2πr2 (i.e h = 2r because height of the cylinder = diameter of sphere)Total surface area of sphere =2 x 2πr2
Result
Surface area of a sphere = 4πr2 (verified experimentally).
Learning Outcome
Students will derive the formula for surface area of a sphere through an activity.
Activity Time
Let the radii of a sphere and of the base of a cylinder are same. Find the ratio of the curved surface area of a sphere to curved surface area of a cylinder if the height of the cylinder is 2 times of its radius.
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